| 阻尼Navier-Stokes系统的渐近吸引子 |
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| 引用本文： | 姜倩,阮庭伟,罗宏. 阻尼Navier-Stokes系统的渐近吸引子[J]. 数学研究及应用, 2020, 40(3): 313-319 |
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| 作者姓名： | 姜倩 阮庭伟 罗宏 |
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| 作者单位： | 四川师范大学数学科学学院,四川 成都 610066 |
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| 基金项目： | 国家自然科学基金(Grant No.11701399). |
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| 摘 要： | 本文通过构造一个有限维解序列,研究了二维阻尼驱动Navier-Stokes方程的渐近吸引子,并证明了该解序列在长时间内无限逼近全局吸引子,最后给出了渐近吸引子的维数估计.
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| 关 键 词： | 渐近吸引子 渐近解序列 阻尼Navier-Stokes方程 |
| 收稿时间： | 2019-04-12 |
| 修稿时间： | 2019-10-09 |
The Asymptotic Attractor of the Damped Navier-Stokes System |
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| Qian JIANG,Tingwei RUAN,Hong LUO. The Asymptotic Attractor of the Damped Navier-Stokes System[J]. Journal of Mathematical Research with Applications, 2020, 40(3): 313-319 |
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| Authors: | Qian JIANG Tingwei RUAN Hong LUO |
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| Affiliation: | College of Mathematics Science, Sichuan Normal University, Sichuan 610066, P. R. China |
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| Abstract: | In this paper, the asymptotic attractor of the $2$-$D$ damped and driven Navier-Stokes equation is studied by constructing a finite-dimensional solution sequence, and it is proved that this solution sequence approximates the global attractor infinitely after a long time. The dimension estimate of the asymptotic attractor is obtained in the end. |
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| Keywords: | asymptotic attractor asymptotic solution sequence damped navier-stokes equation |
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